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DTSTART:20210328T030000
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DTSTAMP:20210123T210855Z
UID:1606235400@ist.ac.at
DTSTART:20201124T173000
DTEND:20201124T181500
DESCRIPTION:Speaker: Fabio Toninelli\nhosted by M. Beiglböck\, N. Berestyc
ki\, L. Erdös\, J. Maas\, F. Toninelli\nAbstract: The AKPZ equation is an
anisotropic variant of the celebrated (two-dimensional) KPZ stochastic PD
E\, which is expected to describe the large-scale behavior of (2+1)-dimens
ional growth models whose average speed of growth is a non-convex functi
on of the average slope (AKPZ universality class). Several interacting par
ticle systems belonging to the AKPZ class are known\, notably a class of t
wo-dimensional interlaced particle systems introduced by A. Borodin and P.
Ferrari. The AKPZ equation has been conjectured to have the same large-
scale behavior as the stochastic heat equation with additive noise (2d-SHE
). In this talk\, I will show that this is not really true: in fact\, the
stationary equation is not invariant under diffusive rescaling (as the 2d-
SHE is)\, not even asymptotically on large scales\, as the diffusion coeff
icient diverges (logarithmically) for large times. [Based on joint work wi
th G. Cannizzaro and D. Erhard]
LOCATION:Online via Zoom\, IST Austria
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:The stationary (2+1)-dimensional AKPZ equation
URL:https://talks-calendar.app.ist.ac.at/events/2985
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